Three dimensional structures of the geometrically necessary dislocations in matrix-inclusion systems under uniaxial tensile loading

International Journal of Plasticity

Volumn 20, Issue 6, 2004, Pages 1093-1109

  Ohashi, Tetsuya ^a  

^a KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

A. Dislocations; A. Microstructures; A. Voids and inclusions; B. Crystal plasticity; Orowan loops

Indexed keywords

COALESCENCE; COMPUTER SIMULATION; DATA REDUCTION; DEFORMATION; DISLOCATIONS (CRYSTALS); FINITE ELEMENT METHOD; INTERFACES (MATERIALS); MICROSTRUCTURE; NUCLEATION; STRAIN; STRESS ANALYSIS;

CRYSTAL PLASTICITY; OROWAN LOOPS; VOIDS AND INCLUSIONS;

PLASTIC DEFORMATION;

EID: 1142300600     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2003.10.005     Document Type: Conference Paper

References (29)

1. Bonfoh N., Carmasol A., Lipinski P. Modeling of intra-crystalline hardening of materials with particles. Int. J. Plasticity. 19:2003;1167-1193.
2. Bonfoh N., Lipinski P., Carmasol A., Tiem S. Micromechanical modeling of ductile damage of polycrystalline materials with heterogeneous particles. Int. J. Plasticity. 20:2004;85-106.
3. Bruzzi M.S., McHugh P.E., O'Rourke F., Linder T. Micromechanical modelling of the static and cyclic loading of an Al 2124-SiC MMC. Int. J. Plasticity. 17:2001;565-599.
4. Busso E.P., Meissonnier F.T., O'Dowd N.P. Gradient-dependent deformation of two-phase single crystals. J. Mech. Phys. Sol. 48:2000;2333-2361.
5. Fedelich B. A microstructural model for the monotonic and the cyclic mechanical behavior of single crystals of superalloys at high temperatures. Int. J. Plasticity. 18:2002;1-49.
6. Hart E.W. Theory of dispersion hardening in metals. Acta Metall. 20:1972;275-289.
7. Hill R. Generalized constitutive relations for incremental deformation. J. Mech. Phys. Sol. 14:1966;95-102.
8. Hiratani M., Zbib H.M., Khaleel M.A. Modeling of thermally activated dislocation glide and plastic flow through local obstacles. Int. J. Plasticity. 19:2003;1271-1296.
9. Hirsch P.B. Some aspects of the plastic deformation of dispersion hardened alloys. Li J.C.M., Mukherjee A.K. Rate Processes in Plastic Deformation of Materials, Proceedings from the John E. Dorn symposium / sponsored by the Flow and Fracture Activity of the Materials Science Division. 1975;1 American Society for Metals, Metals Park, OH.
10. Humphreys F.J. Particle stimulated nucleation of recrystallization at silica particles in nickel. Scripta Mater. 43:2000;591-596.
11. Humphreys F.J., Hatherly M. Recrystallization and Related Annealing Phenomena, Vol. 21. 1996;Pergamon, Oxford., p. 144.
12. Ishikawa N., Parks D.M., Socrate S., Kurihara M. Micromechanical modeling of ferrite-pearlite steels using finite element unit cell models. ISIJ international. 40:2000;1170-1179.
13. Khraishi T.A., Zbib H.M. Dislocation dynamics simulations of the interaction between a short rigid fiber and a glide circular dislocation pile-up. Comp. Mater. Sci. 24:2002;310-322.
14. Li Z., Guo W. The influence of plasticity mismatch on the growth and coalescence of spheroidal voids on the bimaterial interface. Int. J. Plasticity. 18:2002;249-279.
15. Li Z., Wang C., Guo W. The evolution of voids in the plasticity strain hardening gradient materials. Int. J. Plasticity. 19:2003;213-234.
16. McHugh P.E., Asaro R.J., Shih C.F. Computational modeling of metal matrix composite materials. Low T.C., Rollett A.D., Follansbee P.S., Daehn G.S. Modeling the Deformation of Crystalline Solids. 1991;369 The Minerals, Metals & Materials Society.
17. McHugh P.E., Asaro R.J., Shih C.F. Computational modeling of metal matrix composite materials - 1. Isothermal deformation patterns in ideal microstructures. Acta Metall. Mater. 40:1993;1461-1476.
18. Nagayama N., Abe T., Nagaki S. Plastic deformation of inhomogeneous material with ellipsoidal inclusions. Trans. Japan Society for Mechanical Engineers. A-55:1986;1365-1373. (in Japanese).
19. Ohashi T. Computer simulation of non-uniform multiple slip in face centered cubic bicrystals. Trans. Japan Inst. Metals. 28:1987;906-915.
20. Ohashi T. Numerical modelling of plastic multislip in metal crystals of f.c.c. type. Philos. Mag. A70:1994;793-803.
21. Ohashi T. Finite-element analysis of plastic slip and evolution of geometrically necessary dislocations in fcc crystals. Philos. Mag. Lett. 75:1997;51-57.
22. Ohashi T. Evaluation and visualization of geometrically necessary dislocations in metal microstructures by means of continuum mechanics analysis. J. Phys. IV France. 9:1999;Pr9-279-284.
23. Ohashi T., Asakawa K. Three dimensional dislocation structure formed in the vicinity of spherical inclusions. Trans. Japan Society for Mechanical Engineers. 68:2002;1513-1519. (in Japanese).
24. Ohashi, T., 2003. A new model of scale dependent crystal plasticity analysis. In: Proc. IUTAM Symposium on Mesoscopic Dynamics in Fracture Process and Strength of Materials, Osaka, Japan.
25. Schacht T., Untermann N., Steck E. The influence of crystallographic orientation on the deformation behaviour of single crystals containing microvoids. Int. J. Plasticity. 19:2003;1605-1626.
26. Schmitt C., Lipinski P., Berveiller M. Micromechanical modelling of the elastoplastic behavior of polycrystals containing precipitates - application to hypo- and hyper- eutectoid steels. Int. J. Plasticity. 13:1997;183-199.
27. Weertman J. Anomalous work hardening, non-redundant screw dislocations in a circular bar deformed in torsion, and non-redundant edge dislocations in a bent foil. Acta Mater. 50:2002;673-689.
28. Yamada Y., Yoshimura N., Sakurai T. Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method. Int. J. Mech. Sci. 10:1968;343-354.
29. Zienkiewicz O.C. The Finite Element Method. third ed:1977;McGraw-Hill, London., p. 141.